An application of bilinear integration to quantum scattering.
Saved in:
| Title: | An application of bilinear integration to quantum scattering. |
|---|---|
| Authors: | García-Raffi, L.M.1 lmgarcia@mat.upv.es, Jefferies, B.2 b.jefferies@unsw.edu.au |
| Source: | Journal of Mathematical Analysis & Applications. Jul2014, Vol. 415 Issue 1, p394-421. 28p. |
| Subjects: | Quantum scattering, Lebesgue integral, Bilinear forms, Selfadjoint operators, Continuous spectrum (Atomic spectrum), Topology, Integral functions |
| Abstract: | Abstract: Scattering theory has its origin in Quantum Mechanics. From the mathematical point of view it can be considered as a part of perturbation theory of self-adjoint operators on the absolutely continuous spectrum. In this work we deal with the passage from the time-dependent formalism to the stationary state scattering theory. This problem involves applying Fubini's Theorem to a spectral measure integral and a Lebesgue integral of functions that take values in spaces of operators. In our approach, we use bilinear integration in a tensor product of spaces of operators with suitable topologies and generalize the results previously stated in the literature. [Copyright &y& Elsevier] |
| Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
Be the first to leave a comment!
